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cond-mat.mtrl-sci2007★ 78 cited
Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
Badrinarayan P. Athreya, Nigel Goldenfeld, Jonathan A. Dantzig +2
We implement an adaptive mesh algorithm for calculating the space and time dependence of the atomic density field during materials processing. Our numerical approach uses the syste…
cond-mat.mtrl-sci2005
Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
Nigel Goldenfeld, Badrinarayan P. Athreya, Jonathan A. Dantzig
We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing…